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301431 = 31359131
BaseRepresentation
bin1001001100101110111
3120022111010
41021211313
534121211
610243303
72363544
oct1114567
9508433
10301431
11196519
12126533
13a7280
147bbcb
155e4a6
hex49977

301431 has 16 divisors (see below), whose sum is σ = 443520. Its totient is φ = 180960.

The previous prime is 301429. The next prime is 301447. The reversal of 301431 is 134103.

It is not a de Polignac number, because 301431 - 21 = 301429 is a prime.

It is a super-2 number, since 2×3014312 = 181721295522, which contains 22 as substring.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 301431.

It is not an unprimeable number, because it can be changed into a prime (301471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236 + ... + 2366.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2301431 is an apocalyptic number.

301431 is a deficient number, since it is larger than the sum of its proper divisors (142089).

301431 is a wasteful number, since it uses less digits than its factorization.

301431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 301431 is about 549.0273217245. The cubic root of 301431 is about 67.0495660550.

Adding to 301431 its reverse (134103), we get a palindrome (435534).

The spelling of 301431 in words is "three hundred one thousand, four hundred thirty-one".

Divisors: 1 3 13 39 59 131 177 393 767 1703 2301 5109 7729 23187 100477 301431